question 1 -line integral
Evaluate the integral of C xdy-ydx along the curve C given by the equation y=x^3 from (0,0) to (2,8).
question 2 - work
Find the work done in moving an object through the vector field
F<x,y> = <-y,x> along the upper semicircle x^2 + y^2 =1 from A(1,0) to B(-1,0).
Please HELP ! Thank you very much.
well, i just omitted the dot.. anyways, according to my notes (a year ago Ü), the definition states
where the tangential vector, that is why i came with
My lecture note states that T is a unit tangent vector where T(t) = r'(t)/IIr'(t)II .
Does this mean the same as what you mentioned --- the tangential vector?
Could you please tell me how to solve the following question? Thank you very much.
question (work )
Evaluate the integral c of F dot dr where F(x,y,z) = 8x^2yz i+ 5zj-4xyk and c is the curve given by r(t)=ti + t^2j+t^3k where 0 < or = t< or = 1.